Approximate Solutions for Nonlinear Partial Fractional Differential Equations


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Abstract


In this article, we use  the Adomain decomposition method to find the approximate solutions for the linear and nonlinear partial fractional differential equations via the nonlinear Schrödinger  partial fractional  differential equation and the telegraph partial fractional differential equation. The fractional derivatives are described in the Caputo sense. We compare between the approximate solutions and the exact solutions for the partial fractional differential equations when α,β→1. Also we make the Figures to compare between the approximate solutions and the exact solutions for the partial fractional differential equations when α,β→1. This method is powerfull to find the approximate solutions for nonlinear partial fractional differential equations. Also we will compare between the approximate solutions which obtained by using the variational itearation method and the approximate solutions which obtained by Adomain decomposition methods.
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Keywords


Adomain Decomposition Method; Fractional Derivatives in Caputo Sense; Nonlinear Fractional Schrodinger Equations; Telegraph Fractional Equation; Variational Itearation Method

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